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Home > MC2 > Chapter 7 > Lesson 7.1.6 > Problem 7-59

7-59.
  1. Lynne took a taxicab from her office to the airport. She had to pay $3 per mile plus a $5 flat fee. Homework Help ✎

    1. How much would she need to pay to go a distance of 2 miles? How much to travel 8 miles?

    2. Her total cost was $23. Represent the cost of her trip with an equation. How far did she travel? Show your work.

If each mile costs $3, 2 miles would cost $11.
$6 plus the flat fee of $5.
How much would 8 miles cost?

2 miles : $11
8 miles: $29

If we let a variable represent the miles traveled, we can create an expression to represent the cost for her transportation.

Since each mile costs $3, this can be represented as $3(x).
Because she had to also pay a flat fee, this can be represented as a constant, $5.

$3(x) + $5

$3(x) + $5 = $23
How many miles did she travel?